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Finding the Fourth Proportional to 1,353.49, 2,030.08 and 379.67

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Solution

The fourth proportional to 1,353.49, 2,030.08 and 379.67 is: 569.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,353.49 : 2,030.08 = 379.67 : x
  2. Step 2: Convert to fraction form
    1,353.49/2,030.08 = 379.67/x
  3. Step 3: Cross multiply
    1,353.49x = 2,030.08 × 379.67
  4. Step 4: Simplify right side
    1,353.49x = 770,760.47
  5. Step 5: Solve for x
    x = 770,760.47/1,353.49
  6. Step 6: Final answer
    x = 569.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.